150979947021792 has 720 divisors, whose sum is σ = 528773802435648. Its totient is φ = 42118331996160.

The previous prime is 150979947021781. The next prime is 150979947021797. The reversal of 150979947021792 is 297120749979051.

150979947021792 is a `hidden beast` number, since 1 + 50 + 9 + 7 + 9 + 9 + 470 + 2 + 17 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 150979947021792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150979947021797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2513077258 + ... + 2513137334.

Almost surely, 2^{150979947021792} is an apocalyptic number.

150979947021792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150979947021792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264386901217824).

150979947021792 is an abundant number, since it is smaller than the sum of its proper divisors (377793855413856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150979947021792 is a wasteful number, since it uses less digits than its factorization.

150979947021792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60581 (or 60557 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 72.

The spelling of 150979947021792 in words is "one hundred fifty trillion, nine hundred seventy-nine billion, nine hundred forty-seven million, twenty-one thousand, seven hundred ninety-two".